Search a number
-
+
800851002 = 237213919597
BaseRepresentation
bin101111101111000…
…000010000111010
32001210221110001020
4233233000100322
53120004213002
6211245003310
725563056400
oct5757002072
92053843036
10800851002
11381072236
121a4253536
13c9bc0343
147850b470
154a4942bc
hex2fbc043a

800851002 has 48 divisors (see below), whose sum is σ = 1876704480. Its totient is φ = 227156832.

The previous prime is 800850997. The next prime is 800851003. The reversal of 800851002 is 200158008.

800851002 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (800851003) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31068 + ... + 50664.

It is an arithmetic number, because the mean of its divisors is an integer number (39098010).

Almost surely, 2800851002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 800851002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (938352240).

800851002 is an abundant number, since it is smaller than the sum of its proper divisors (1075853478).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

800851002 is a wasteful number, since it uses less digits than its factorization.

800851002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19755 (or 19748 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 24.

The square root of 800851002 is about 28299.3109810115. The cubic root of 800851002 is about 928.6468168559.

The spelling of 800851002 in words is "eight hundred million, eight hundred fifty-one thousand, two".

Divisors: 1 2 3 6 7 14 21 42 49 98 139 147 278 294 417 834 973 1946 2919 5838 6811 13622 19597 20433 39194 40866 58791 117582 137179 274358 411537 823074 960253 1920506 2723983 2880759 5447966 5761518 8171949 16343898 19067881 38135762 57203643 114407286 133475167 266950334 400425501 800851002